User:Jagan83

Jagan ,India.

general Paramatric solution for Prouhet-Tarry-Escott Problem.

general solution for degree K=5.

{2by+y  ,yb+x ,   xb+2x ,  2bx+y+2x   ,yb+2bx+2y+x, 2by+bx+2y  } = {2y+by ,y+bx , x+2bx, 2x+by+2bx  ,y+2x+2by+bx  ,2y+x+2by}

And also I observed some interesting new properties in Magic squares.

equal sums like powers properties:


 * {492, 276, 618, 834}
 * {294, 438, 816, 672}.

Tarry-Escott Solution:


 * 4923 + 2763 + 6183 + 8343 = 2943 + 4383 + 8163 + 6723.


 * 4922 + 2762 + 6182 + 8342 = 2942 + 4382 + 8162 + 6722


 * 4921 + 2761 + 6181 + 8341 = 2941 + 4381 + 8161 + 6721

These are aesthetically pleasing palindromic results